A. Venkatesh, Spectral theory of automorphic forms, a very brief introduction, in Equidistribution in Number Theory, an introduction (ed. A. Granville and Z. Rudnick), Proceedings of the NATO Advanced Study Institute on Equidistribution in Number Theory, Montreal, Canada, 11-22 July 2005, NATO...
SPECTRAL METHODS OF AUTOMORPHIC FORMS (2nd edn) (Graduate Studies in Mathematics 53). By HENRYK IWANIEC: 220 pp., US$49.00, ISBN 0-8218-3160-7 (American Mathematical Society, Providence, RI, 2002).ANTONUniversityDEITMARUniversityEBSCO_Asp...
Spectral scattering theory for automorphic forms, Integral Equations Operator Theory 63 - Uetake - 2009 () Citation Context ... satisfying all the above conditions except for (OP3-b), see e.g.[7, Theorem 4.1]. If the multiplicity of nontrivial zeros of a given L-function is one, then ...
On the spectral decomposition of automorphic formsRaulf, NicoleZagier, Don
doi:10.1016/j.jnt.2012.04.020Masao TsuzukiElsevier Inc.Journal of Number TheoryM. Tsuzuki, Spectral average of central values of automorphic L-functions for holomorphic cusp forms on SO0(m, 2), II, preprint, 2011.
We characterize the space of the so-called planar mixed automorphic forms oftype $(u,\\\mu)$ with respect to an equivariant pair $(ho,au)$ as the imageof the usual automorphic forms by an appropriate transform and we investigatesome concrete basic spectral properties of a magnetic Schrodinger...
We introduce and we carry out some concrete spectral properties of a class of magnetic Schrödinger operators leaving invariant the space of the planar mixed automorphic forms of type ( ν , μ ) with respect to an equivariant pair ( ρ , τ ) and given lattice Γ ⊂ C. The associated...